maths.special_numbers.weird_number
==================================

.. py:module:: maths.special_numbers.weird_number

.. autoapi-nested-parse::

   https://en.wikipedia.org/wiki/Weird_number

   Fun fact: The set of weird numbers has positive asymptotic density.



Functions
---------

.. autoapisummary::

   maths.special_numbers.weird_number.abundant
   maths.special_numbers.weird_number.factors
   maths.special_numbers.weird_number.semi_perfect
   maths.special_numbers.weird_number.weird


Module Contents
---------------

.. py:function:: abundant(n: int) -> bool

   >>> abundant(0)
   True
   >>> abundant(1)
   False
   >>> abundant(12)
   True
   >>> abundant(13)
   False
   >>> abundant(20)
   True

   # >>> abundant(-12)
   # True


.. py:function:: factors(number: int) -> list[int]

   >>> factors(12)
   [1, 2, 3, 4, 6]
   >>> factors(1)
   [1]
   >>> factors(100)
   [1, 2, 4, 5, 10, 20, 25, 50]

   # >>> factors(-12)
   # [1, 2, 3, 4, 6]


.. py:function:: semi_perfect(number: int) -> bool

   >>> semi_perfect(0)
   True
   >>> semi_perfect(1)
   True
   >>> semi_perfect(12)
   True
   >>> semi_perfect(13)
   False

   # >>> semi_perfect(-12)
   # True


.. py:function:: weird(number: int) -> bool

   >>> weird(0)
   False
   >>> weird(70)
   True
   >>> weird(77)
   False